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233131122009 = 3292212809181
BaseRepresentation
bin1101100100011110110…
…0101001110101011001
3211021202022100001210100
43121013230221311121
512304423031401014
6255033213010013
722562130561312
oct3310754516531
9737668301710
10233131122009
118a963493575
1239223183909
1318ca42b7b96
14b3d8305609
1560e6de3009
hex3647b29d59

233131122009 has 12 divisors (see below), whose sum is σ = 336781593252. Its totient is φ = 155403837600.

The previous prime is 233131121999. The next prime is 233131122023. The reversal of 233131122009 is 900221131332.

It can be written as a sum of positive squares in 2 ways, for example, as 138832995609 + 94298126400 = 372603^2 + 307080^2 .

It is not a de Polignac number, because 233131122009 - 212 = 233131117913 is a prime.

It is not an unprimeable number, because it can be changed into a prime (233131122079) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1321602 + ... + 1487579.

It is an arithmetic number, because the mean of its divisors is an integer number (28065132771).

Almost surely, 2233131122009 is an apocalyptic number.

It is an amenable number.

233131122009 is a deficient number, since it is larger than the sum of its proper divisors (103650471243).

233131122009 is a wasteful number, since it uses less digits than its factorization.

233131122009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2818408 (or 2818405 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The spelling of 233131122009 in words is "two hundred thirty-three billion, one hundred thirty-one million, one hundred twenty-two thousand, nine".

Divisors: 1 3 9 9221 27663 82989 2809181 8427543 25282629 25903458001 77710374003 233131122009